84081110400 has 1344 divisors, whose sum is σ = 376019980800. Its totient is φ = 18139852800.

The previous prime is 84081110389. The next prime is 84081110437. The reversal of 84081110400 is 401118048.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 310262265 + ... + 310262535.

Almost surely, 2^84081110400 is an apocalyptic number.

84081110400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84081110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188009990400).

84081110400 is an abundant number, since it is smaller than the sum of its proper divisors (291938870400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84081110400 is a wasteful number, since it uses less digits than its factorization.

84081110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 84081110400 its reverse (401118048), we get a palindrome (84482228448).

It can be divided in two parts, 84081 and 110400, that added together give a 4-th power (194481 = 21⁴).

The spelling of 84081110400 in words is "eighty-four billion, eighty-one million, one hundred ten thousand, four hundred".